Geodesic
One representation of the results of action of approximate solutions in a~problem with constraints of asymptotic nature
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 225-239

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider an abstract attainability problem with constraints of asymptotic nature defined in the form of a nonempty family of subsets in the space of usual solutions. Various variants of implementing asymptotic effects are considered (convergence in a topological space, cycles, and so on). A rather general method is suggested for presenting the results of action of approximate solutions; this method generalizes constructions based on sequences in the space of usual solutions.
Keywords: attraction set, ultrafilter.
Mots-clés : net 
@article{TIMM_2011_17_2_a18,
     author = {A. G. Chentsov},
     title = {One representation of the results of action of approximate solutions in a~problem with constraints of asymptotic nature},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {225--239},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a18/}
}
TY  - JOUR
AU  - A. G. Chentsov
TI  - One representation of the results of action of approximate solutions in a~problem with constraints of asymptotic nature
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2011
SP  - 225
EP  - 239
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a18/
LA  - ru
ID  - TIMM_2011_17_2_a18
ER  - 
%0 Journal Article
%A A. G. Chentsov
%T One representation of the results of action of approximate solutions in a~problem with constraints of asymptotic nature
%J Trudy Instituta matematiki i mehaniki
%D 2011
%P 225-239
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a18/
%G ru
%F TIMM_2011_17_2_a18
A. G. Chentsov. One representation of the results of action of approximate solutions in a~problem with constraints of asymptotic nature. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 225-239. http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a18/